350748349440 has 352 divisors, whose sum is σ = 1159800461184. Its totient is φ = 90402324480.

The previous prime is 350748349423. The next prime is 350748349447. The reversal of 350748349440 is 44943847053.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350748349447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89224275 + ... + 89228205.

Almost surely, 2^350748349440 is an apocalyptic number.

350748349440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350748349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579900230592).

350748349440 is an abundant number, since it is smaller than the sum of its proper divisors (809052111744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350748349440 is a wasteful number, since it uses less digits than its factorization.

350748349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 350748349440 in words is "three hundred fifty billion, seven hundred forty-eight million, three hundred forty-nine thousand, four hundred forty".